As of April 2006, roughly 50 million.com web domain names wereregistered (e.g.,
ID: 2951886 • Letter: A
Question
As of April 2006, roughly 50 million.com web domain names wereregistered (e.g., yahoo.com) a. How many domain names consisting of just two letters in sequencecan be formed? How many domain names of length two are therif digits as well as letters are permitted as characters? [Note: Acharacter length of three or more is now mandated.] b. How many domain names are there consisting of three lettersin sequence? How many of this length are there if eitherletters or digits are permitted? [Note: All are currentlytaken.] c. Answer the questions posed in (b) for four-charactersequences. d. As of April 2006, 97,786 of the four-character sequences usingeither letters or digits had not yet been claimed. If afour-character name is randomly selected, what is the probabilitythat it is already owned? As of April 2006, roughly 50 million.com web domain names wereregistered (e.g., yahoo.com) a. How many domain names consisting of just two letters in sequencecan be formed? How many domain names of length two are therif digits as well as letters are permitted as characters? [Note: Acharacter length of three or more is now mandated.] b. How many domain names are there consisting of three lettersin sequence? How many of this length are there if eitherletters or digits are permitted? [Note: All are currentlytaken.] c. Answer the questions posed in (b) for four-charactersequences. d. As of April 2006, 97,786 of the four-character sequences usingeither letters or digits had not yet been claimed. If afour-character name is randomly selected, what is the probabilitythat it is already owned?Explanation / Answer
a.) Two letters in sequence = 26*26=676domain names possible. Two letter/number in sequence =(26+10)*(26+10)=36^2=1296 domain namespossible. b.) Three letters in sequence = 26^3=17576domain names possible. Three letter/number in sequence =(26+10)^3=46656 domain names possible. c.) Four letters in sequence = 26^4=456976domain names possible. Four letter/number in sequence =(26+10)^4=1679616 d.)P of owned = 1 - P of not owned. P = 1-97786/1679616=1581830/1679616=.941512822 =94.2%Related Questions
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